Thermodynamics of black M-branes from SCFTs

Abstract

We discuss thermodynamics of N M2-branes at strong coupling from the ABJM theory by employing the Smilga-Wiseman method, which explains the black Dp-brane thermodynamics from the maximally supersymmetric U(N) Yang-Mills theories through a field theory analysis. As a result we obtain the free energy of the ABJM theory ~N^{3/2}k^{1/2}T^3, which is consistent with the prediction from eleven-dimensional supergravity. We also estimate the free energy of N M5-branes by assuming some natural properties of the 6d superconformal field theory. Remarkably we obtain the free energy ~N^3T^6, which is consistent again with the supergravity prediction. This result might illuminate the low energy field theory description of the multiple M5-branes.

1+19 pages, v2: new section 5 and references added, v3: minor corrections and a reference added, v4: minor corrections

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Summing Up All Genus Free Energy of ABJM Matrix Model
• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
• Phase structure of matrix quantum mechanics at finite temperature
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• On black hole thermodynamics from super Yang-Mills

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• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• Microstates of D1-D5(-P) black holes as interacting D-branes
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• Microstates of black holes in expanding universe from interacting branes
• Exotic N dependent free energy of black brane solutions from 3D MSYM
• Thermodynamics of Intersecting Black Branes from Interacting Elementary Branes